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Finding the Third Proportional to 9,600,562 and 13,504,394.50

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Solution

The third proportional to 9,600,562 and 13,504,394.50 is: 18,995,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600,562 : 13,504,394.50 = 13,504,394.50 : x
  2. Step 2: Convert to fraction form
    9,600,562/13,504,394.50 = 13,504,394.50/x
  3. Step 3: Cross multiply
    9,600,562x = 13,504,394.50 × 13,504,394.50
  4. Step 4: Simplify right side
    9,600,562x = 182,368,670,811,630.25
  5. Step 5: Solve for x
    x = 182,368,670,811,630.25/9,600,562
  6. Step 6: Final answer
    x = 18,995,624.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.